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Finding the Fourth Proportional to 206,038.54, 308,665.29 and 117,353.26

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Solution

The fourth proportional to 206,038.54, 308,665.29 and 117,353.26 is: 175,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,038.54 : 308,665.29 = 117,353.26 : x
  2. Step 2: Convert to fraction form
    206,038.54/308,665.29 = 117,353.26/x
  3. Step 3: Cross multiply
    206,038.54x = 308,665.29 × 117,353.26
  4. Step 4: Simplify right side
    206,038.54x = 36,222,878,030.35
  5. Step 5: Solve for x
    x = 36,222,878,030.35/206,038.54
  6. Step 6: Final answer
    x = 175,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.